Trigonometry Examples

$3 \cot (45) + 2 (\cos (45))$

Step 1

The exact value of $\cot (45)$ is $1$ .

$3 \cdot 1 + 2 (\cos (45))$

Step 2

Multiply $3$ by $1$ .

$3 + 2 (\cos (45))$

Step 3

The exact value of $\cos (45)$ is $\frac{\sqrt{2}}{2}$ .

$3 + 2 \frac{\sqrt{2}}{2}$

Step 4

Cancel the common factor of $2$ .

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Step 4.1

Cancel the common factor.

$3 + 2 \frac{\sqrt{2}}{2}$

Step 4.2

Rewrite the expression.

$3 + \sqrt{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$3 + \sqrt{2}$

Decimal Form:

$4.41421356 \dots$